Factor by Grouping:
15xy + 35x – 12y – 28
O (3y - 7)(5x + 4)
O (3xy + 7)(5x + 4)
O (3xy - 7)(5x - 4)
O (5x - 4)(3y + 7)

Answers

Answer 1

Answer:

[tex](5x - 4)(3y + 7)[/tex]

Step-by-step explanation:

[tex]15xy+35x−12y−28[/tex]

[tex](15xy+35x)−12y−28[/tex]

[tex]5x(3y+7)−4(3y+7)[/tex]

[tex](5x - 4)(3y + 7)[/tex]

Hope it is helpful...
Answer 2

[tex]\longrightarrow{\green{d.\:(5x - 4)(3y + 7)}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]15xy + 35x - 12y - 28[/tex]

Taking "[tex]5x[/tex]" as common from first two terms and "[tex]4[/tex]" from last two terms, we have

[tex] = 5x(3y + 7) - 4(3y + 7)[/tex]

Taking the factor [tex](3y+7)[/tex] as common,

[tex] = (5x - 4)(3y + 7)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]


Related Questions

Susie works as a mail clerk. She earns 8.125 and hour and worked 35.525 hours last week. What is her straight time pay

Answers

Answer:

Total pay=$288.64

Step-by-step explanation:

Giving the following information:

Hourly rate= $8.125

Number of hours worked= 35.525

To calculate the total pay of the week, we need to use the following formula:

Total pay= hourly rate * number of hours worked

Total pay= 8.125*35.525

Total pay=$288.64

Express f(x) = 6cos x + 2 sin x as Rcos (x + theta), where theta is an acute angle in radians.

Answers

We want to find R and θ such that

R cos(x + θ) = R (cos(x) cos(θ) - sin(x) sin(θ)) = 6 cos(x) + 2 sin(x)

which means

R cos(θ) = 6

-R sin(θ) = 2

Observe that

(R cos(θ))² + (-R sin(θ))² = 6² + 2²   ==>   R ² = 40   ==>   R = 2√10

and

-R sin(θ) / (R cos(θ)) = 2/6   ==>   tan(θ) = -1/3   ==>   θ = arctan(-1/3) = -arctan(1/3)

So we have

6 cos(x) + 2 sin(x) = R cos(x + θ) = 2√10 cos(x - arctan(1/3))

If my house is 7 miles away from the store. And the average human walks at 5 mph.

Why has it taken my dad 18 years to get milk?

Answers

Answer:

My best guess is because of so many different factors whether they're envirornmental or himself or anything is possible.

Please mark as Brainliest

Hope this Helps

Because the walk is very far
Don’t mind my answer just want someone to answer mine

In triangle RG shown below. m 63 and m 30 Which of the following is the
63

Answers

Answer:

The value of the hypotenuse is 69.77 meters.

Step-by-step explanation:

To determine, in triangle RG, the value of its hypotenuse if its sides measure 63 meters and 30 meters, the following calculation must be performed, applying the Pythagorean theorem:

63 ^ 2 + 30 ^ 2 = X ^ 2

3969 + 900 = X ^ 2

√ 4869 = X

69.77 = X

Therefore, the value of the hypotenuse is 69.77 meters.

ILL GIVE YOU BRAINLIEST IF YOU GET IT RIGHT AND EXPLAIN
A circular walkway surrounds a fountain.The fountain alone has a diameter of 16 feet.The walkway adds an additional 4 feet to each side. What is the area of the walkway minus the area of the fountain. Use 3.14 for Pi.​

Answers

Answer:

a = 452.16 ft²    area of walkway

a = -351.68 ft²   area of the walkway minus the area of the fountain

Step-by-step explanation:

Area fountain

a = π16²

a = 256π

Area fountain and walkway

a = π(16 + 4)²

a = π20²

a = 400π

Area Walkway

a =400π - 256π

a = 144π

a = 144 * 3.14

a = 452.16 ft²

------------------------------

I think the Area of the Walkway is what the question should be asking for, but it asked for

"the area of the walkway minus the area of the fountain"

a = 144π - 256π

a = -112π

a = -112 * 3.14

a = -351.68

Stephan con run 3 miles in 15.75 minutes. Keisha con run 5 miles in 22.6 minutes. Who can run faster?​

Answers

Answer: Keisha can run faster than Stephan.

Step-by-step explanation:

Let's figure out how long it takes for them to run a mile.

[tex]\frac{15.75}{3} =5.25\\\frac{3}{3} = 1[/tex]

It would take Stephan 5.25 minutes to run a mile

[tex]\frac{22.6}{5} =4.52\\\\\frac{5}{5} =1[/tex]

It would take Keisha 4.52 minutes to run a mile

Since Keisha takes less time to run a mile she is faster.

Answer:

Keisha can run faster

Step-by-step explanation:

Stephan can run

3 miles in 15.75 min.

so divide  15.75 by 3 min which would give you:

5.25 mi.

Now Keisha can run

 5 miles in226 min  

now divide 22.6 by 5 min which would give you

4.52 min

so that means Stephan can run faster then Keisha since 4.52<5.25

Keisha can run faster, since  4.52<5.25


Some of the values of a linear function are given in the table below. Which of the following could be the graph of the function?

Answers

Answer:

The graphs are included, but the table is missing.

Step-by-step explanation:

The numbers 1-11 are placed in a bag. What is the probability of drawing a prime number?

Answers

Answer:

1 3 5 7 11 are all prime numbers and out of 11 numbers, 5 are prime so 5/11

Step-by-step explanation:

Give me brainiest answer please! :D

2, 3, 5, 7, and 11 are prime numbers. So out of 11 numbers five are prime numbers. You have 5/11 probability of drawing a prime number. I hope this helped, Goodluck! :)

Find the circumference of the circle shown below if the diameter equals 20 inches. Use 3.14 for π

A)62.8
B)31.4
C)None of these answers
D)1,256
E)314

Answers

Answer:

62.8 inches

Step-by-step explanation:

c = πd

c = 3.14 * 20

c = 62.8 inches

A building 230 feet tall casts a 80 foot long shadow. If a person looks down from the top of the building, what is the measure of the angle between the end of the shadow and the vertical side of the building (to the nearest degree)? (Assume the person's eyes are level with the top of the
building.)

Answers

Hope this help!!!

Have a nice day!!!

The angle between the end of the shadow and the vertical side of the building is approximately 70.4°.

How to calculate the angle?

The tangent function to find the angle between the end of the shadow and the vertical side of the building. Let x be the measure of the angle, in degrees. Then:

tan(x) = opposite/adjacent

tan(x) = 230/80

tan(x) = 2.875

To solve for x, we take the inverse tangent of both sides:

x = tan⁻¹(2.875)

x ≈ 70.4

Therefore, the angle between the end of the shadow and the vertical side of the building is approximately 70.4°.

To know more about an angle follow

https://brainly.com/question/13959018

#SPJ2

Did I answer this correctly? Drag each tile to the correct box. Not all tiles will be used. Arrange the steps to solve this system of linear equations in the correct sequence.

Put the following in order:
A. Subtract 3x + 3y = -6 (obtained in step 1) from 2x – 3y = -9 (given) to solve for x.

B) Substitute the value of x in the first equation (x + y = -2) to get y = 1.

C) The solution for the system of equations is (-3, 1).

D) x = -15

E) The solution for the system of equations is (-15, 13).

F) Add 3x + 3y = -6 (obtained in step 1) to 2x – 3y = -9 (given), and solve for x.

G) x = -3

H) Substitute the value of x in the first equation (x + y = -2) to get y = 13.

J) Multiply the first equation by 3: 3(x + y) = 3(-2) 3x + 3y = -6.

Remember that only 5 can be used.

Answers

9514 1404 393

Answer:

  your 3rd step should be x = -3

Step-by-step explanation:

When you combine the equations in step 2, you get ...

  5x = -15

Dividing by 5 gives the solution for x:

  x = -3

This is what your Step 3 should show. This is the value that is consistent with the remaining steps.

Answer:9514 1404 393

Step-by-step explanation:

if cosø = -5/13 and sin ø<0 what is tan ø

Answers

Answer:

12:5

Step-by-step explanation:

if you get this right i’ll give the brainliest answer

Answers

Answer:

[tex]c=108.17[/tex]

Step-by-step explanation:

Use Pythagoras theorem to find the hypotenuse:

[tex]c^{2} =a^{2} +b^{2}[/tex]

In this question, take "b" as 90' and "a" as 60'

[tex]c^{2} =60^{2} +90^{2}[/tex]

[tex]c^{2} =3600+8100[/tex]

[tex]c^{2} =11700[/tex]

[tex]c=\sqrt{11700}[/tex]

[tex]c=108.1665383[/tex]

[tex]c=108.17[/tex]

I hope this helps.....

There are 924 people in a theatre.
383 of the people are men.
356 of the people are women.
2
of the children are boys.
5
Work out how many girls are in the theatre

Answers

[tex]924 - (383 + 356 + 2 + 5 )[/tex]

Answer:

Step-by-step explanation:

total no. of people in the theatre = 924

men=383

women=356

boy children =2

doing workout 5

total=746

no. of girls= 924-746=178

Therefore, the number of girls are in the theatre are 178.

Kyle volunteered 5.5 hours at the library this week. He needs to volunteer a total of 12 hours. Which equation can be used to find the number of hours, h, Kyle still needs to volunteer this week?​

Answers

12-5.5=h hope it helps

Need assistance in processing this equation?

Answers

Where’s the equation??

how do i solve this?

Answers

Answer:

5[tex]\sqrt{3}[/tex]

Step-by-step explanation:

This is a special right triangle, the side length that sees 30 degrees is equal to 5 then the side length that sees 90 degrees is 10 and the side length that sees angle measure 60 degrees is 5[tex]\sqrt{3}[/tex]

She got the given variable

Answers

Answer:

125 ov?/70*5

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

70+5f=125. [exterior angle is equal to sum of interior opposite angles]

5f=125-70

5f=55

f=11

According to ADA guidelines, at most, an incline can be 8.5°. Is the following incline acceptable? If yes, prove it. If not, explain why and change one dimension in the design so that it would be.​

Answers

Answer:

Let the angle is x.

We have:

tan x = 15/90tan x = 1/6x = arctan (1/6)x ≈ 9.5°

Since 9.5° > 8.5° it is not acceptable.

If the angle is 8.5° and the height is x, then we have:

tan 8.5° = x / 90x = 90 tan 8.5°x = 13.45 ft

The height is at most 13.45 ft

William has three $10 bills and four $1 bills in his wallet. What is the probability that he will reach into his wallet twice and pull out a $10 bill each time? Assume he does not replace the first bill when he pulls out the second one.

Answers

Answer:

Step-by-step explanation can’t because he might pull out more than 10 dollars or less than 10 dollars.

Choose the appropriate condition for the following pairs of triangles to be congruent.

Answers

Answer:

1. ASA, 2. SSS, 3. ASA

Step-by-step explanation:

1. It is given to us that these two triangles share two of the same angles. We can also see that they share a side together. 2 angles and a side means ASA.

2. It is given to us that these two triangles share two of the same side lengths. We can also see that they share a side together. 2 sides gives us SSS.

3. It is given to us that these two triangles share 1 of the same angles and 1 of the same side lengths. We can also see that they share a vertical angle, which by definition means they have the same measurement. 2 angles and a side gives us ASA.

Find the area of the figure shown

Area = ------- square yards

Answers

Answer:

70

Step-by-step explanation:

area = l×w×h

area= l×h

2l×2h

Camden is creating a model of a pyramid. The model created will need to be scaled up from the blueprint.

If segments DE and AB are parallel, which of the following expressions will help Camden determine the length of DC?
DC equals EC times AC all over BC
DC = EC
DC equals EC times AC all over AB
DC = AB

Answers

Answer:

A) DC equals EC times AC all over BC.

Step-by-step explanation:

We know that:

[tex]DE\parallel AB[/tex]

Then by corresponding angles:

[tex]\angle CAB\cong \angle CDE\text{ and } \angle CBA\cong \angle CED[/tex]

So, by AA-Similarity:

[tex]\Delta CDE\sim \Delta CAB[/tex]

Corresponding sides of similar triangles are in proportion. Hence:

[tex]\displaystyle \frac{DC}{AC}=\frac{EC}{BC}[/tex]

By multiplying both sides by AC:

[tex]\displaystyle DC=\frac{EC\cdot AC}{BC}[/tex]

DC is equal to EC times AC over BC.

Hence, our answer is A.

Answer:

 DC equals EC times AC all over BC

Step-by-step explanation:

ANSWER ASAP PLEASE !! The accompanying table shows the value of a car over time that was
purchased for 14900 dollars, where x is years and y is the value of the car in
dollars. Write an exponential regression equation for this set of data,
rounding all coefficients to the nearest thousandth. Using this equation,
determine the value of the car, to the nearest cent, after 11 years.

Answers

Answer:

163,900 the answer this question.

Find the indicated area of the sector surrounded in bold.

Answers

Answer:

75.36 yd² (≈ 75.4 yd²)

Step-by-step explanation:

GIVEN :-

Angle subtended by the arc at center of circle (θ) = 135°Radius of the circle = 8 yd

TO FIND :-

Area of the sector

GENERAL FORMULAE TO BE USED IN THI QUESTION :-

Lets say there's an arc which subtends θ angle in the center of the circle & radius of the circle is 'r'.

Area of the sector = [tex]\frac{\theta}{360} \times \pi r^2[/tex]

SOLUTION :-

Area of the sector = [tex]\frac{\theta}{360} \times \pi r^2[/tex]

                              [tex]= \frac{135}{360} \times \pi (8)^2[/tex]

                              [tex]= \frac{3}{8} \times 64 \times 3.14[/tex]

                              [tex]= 3 \times 8 \times 3.14[/tex]

                              [tex]=75.36 \; yd^2[/tex]

#6
A. 1/25
B. 2/45
C.1/5
D. 1/18

Answers

The answer to this question is Probably B

The midpoint of AB is M(2,0). If the coordinates of A are (-3, 3), what are the coordinates of B?​

Answers

Answer:

 B(-3, -8)

Step-by-step explanation:

need help with this question

Answers

Answer:

the anwser is b

Step-by-step explanation

you need to replace the letters with the numbers and youll see

Solve the equation x - 15 = 42.

X=______​

Answers

Answer:

[tex]x - 15 = 42 \\ x = 57[/tex]

Answer:

x = 57

Step-by-step explanation:

x - 15 = 42.

Add 15 to each side

x - 15+15 = 42+15

x = 57

Can anyone explain step-by-step please?




Answers

Answer:

i hope this helps:)

Step-by-step explanation:

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